The Lowest Energy Level of a Particle Confined to a One-Dimensional

question 19

Short Answer

The lowest energy level of a particle confined to a one-dimensional region of space (a box,or infinite well)with fixed length L is E₀.If an identical particle is confined to a similar region with fixed length L/6,what is the energy of the lowest energy level that the particles have in common? Express your answer in terms of E₀.

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Definitions:

P(A)

The probability of an event A occurring in a given statistical experiment or context.

P(B)

P(B) denotes the probability of an event B occurring in the context of probability theory and statistics.

Mutually Exclusive

Describes two events that cannot occur at the same time. The occurrence of one event means the other cannot occur.

Independent Events

Two or more events where the occurrence of one event does not affect the probability of the other events occurring.